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Simplifying -7(7n + -1) + -8n = 278 Reorder the terms: -7(-1 + 7n) + -8n = 278 (-1 * -7 + 7n * -7) + -8n = 278 (7 + -49n) + -8n = 278 Combine like terms: -49n + -8n = -57n 7 + -57n = 278 Solving 7 + -57n = 278 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -57n = 278 + -7 Combine like terms: 7 + -7 = 0 0 + -57n = 278 + -7 -57n = 278 + -7 Combine like terms: 278 + -7 = 271 -57n = 271 Divide each side by '-57'. n = -4.754385965 Simplifying n = -4.754385965
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